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Finding the Fourth Proportional to 1,505.42, 2,257.58 and 517.96

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Solution

The fourth proportional to 1,505.42, 2,257.58 and 517.96 is: 776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.42 : 2,257.58 = 517.96 : x
  2. Step 2: Convert to fraction form
    1,505.42/2,257.58 = 517.96/x
  3. Step 3: Cross multiply
    1,505.42x = 2,257.58 × 517.96
  4. Step 4: Simplify right side
    1,505.42x = 1,169,338.49
  5. Step 5: Solve for x
    x = 1,169,338.49/1,505.42
  6. Step 6: Final answer
    x = 776.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.